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Simulation multi-échelle et homogénéisation des matériaux cimentaires

Abstract : To solve diffusion problems on cement media, two scales must be taken into account : a fine scale, which describes the micrometers wide microstructures present in the media, and a work scale, which is usually a few meters long. Direct numerical simulations are almost impossible because of the huge computational resources (memory, CPU time) required to assess both scales at the same time. To overcome this problem, we present in this thesis multiscale resolution methods using both Finite Volumes and Finite Elements, along with their efficients implementations. More precisely, we developped a multiscale simulation tool which uses the SALOME platform to mesh domains and post-process data, and the parallel calcul code MPCube to solve problems. This SALOME/MPCube tool can solve automatically and efficiently multi-scale simulations. Parallel structure of computer clusters can be use to dispatch the more time-consuming tasks. We optimized most functions to account for cement media specificities. We presents numerical experiments on various cement media samples, e.g. mortar and cement paste. From these results, we manage to compute a numerical effective diffusivity of our cement media and to reconstruct a fine scale solution.
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Submitted on : Thursday, September 29, 2011 - 6:18:44 PM
Last modification on : Monday, December 13, 2021 - 9:14:33 AM
Long-term archiving on: : Monday, December 5, 2016 - 12:05:38 AM


  • HAL Id : pastel-00627899, version 1



Thomas Abballe. Simulation multi-échelle et homogénéisation des matériaux cimentaires. Analyse numérique [math.NA]. Ecole Polytechnique X, 2011. Français. ⟨pastel-00627899⟩



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